{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "eb01c905",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf32af07",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "raw",
   "id": "4e2b025c",
   "metadata": {},
   "source": [
    "x="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e6d853c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "x=range(-10,10,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8aa279f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4d1ffef2",
   "metadata": {},
   "outputs": [],
   "source": [
    "y1 = [xi ** 2 for xi in x]\n",
    "y2 = [xi ** 3 for xi in x]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f0c1e393",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x277a78bc2b0>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d75fc1f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'XNew')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y)\n",
    "plt.xlabel(\"iteration number\",fontsize=100)\n",
    "plt.ylabel(\"XNew\",fontsize=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c38df3d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x277a7ab1be0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y1)\n",
    "plt.plot(x,y2)\n",
    "plt.xlabel(\"iteration number\",fontsize=100)\n",
    "plt.ylabel(\"XNew\",fontsize=100)\n",
    "plt.legend([\"x2\",\"X3\"],fontsize=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ab28afd6",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calXnew(Xold):\n",
    "    return (1 / (Xold+1))+1\n",
    "\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "c6d9485c",
   "metadata": {},
   "outputs": [],
   "source": [
    "Xold = 3\n",
    "Xnew = 0\n",
    "i = 0\n",
    "difference = 1\n",
    "\n",
    "listXNEW = []\n",
    "list_i = []\n",
    "listDiff = []\n",
    " \n",
    "while difference > 0.0000001:\n",
    "    Xnew = calXnew(Xold)\n",
    "    listXNEW.append(Xnew)\n",
    "    list_i.append(i)\n",
    "    difference = abs(Xnew - Xold)\n",
    "    listDiff.append(difference)\n",
    "    Xold = Xnew\n",
    "    i += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "60832a48",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "c09a1b35",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11 1.414213558519454\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x2048a07d790>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(i, Xnew)\n",
    "plt.plot(list_i,listXNEW)\n",
    "plt.plot(list_i,listDiff)\n",
    "plt.axhline(1.414)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a0d073e7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
